Question

Does anyone know this? Needed ASAP

Answer 1

50 units²

Explanation:

The area of a trapezoid can be found using the following formula.

`A=(1)/(2)h(b_(1) +b_(2) )`

The height of the trapezoid is 5 units. The bases are 8 units and 12 units.

`h= 5 \\b_(1) = 8\\b_(2) = 12`

Substitute the values into the formula.

`A=(1)/(2)*5(8+12)`

Solve inside the parentheses. Add 8 and 12.

8+12=20

`A=(1)/(2)*5(20)`

Multiply 5 and 20.

5*20= 100

`A=(1)/(2)*100`

Multiply 1/2 and 100 or divide 100 by 2.

100 * 1/2= 50 or 100/2= 50

`A= 50`

Add appropriate units. For this problem, the units are units².

`A= 50 units^2`

The area of the trapezoid is 50 square units.

Answer 2

50 square units

Explanation:

Using the formula provided,
`a = (1)/(2)h(b_1+b_2)`, substituting the height (5), b1 (8) and b2 (12), we can solve for the formula.

`a = (1)/(2)\cdot5(8+12)\\\\a = (1)/(2)\cdot5(20)\\\\a = (1)/(2)100\\\\a = 50`

Hope this helped!